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UKMT Grey Kangaroo, 2025

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The letters $p, q, r, s$ and $t$ represent five consecutive positive integers, though not necessarily in that order. The sum of $p$ and $q$ is 69 and the sum of $s$ and $t$ is 72. What is the value of $r$ ?

(A) $29$ (B) $31$ (C) $34$ (D) $37$ (E) $39$

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